Answer
$d=r(1-\cos \frac{\theta}{2})$
Work Step by Step
Step 1: $d$ is the difference between $r$ and $h$.
Step 2: $d=r-h$
Step 3: Since $h=r\cos \frac{\theta}{2}$,
$d=r-h=r-(r\cos \frac{\theta}{2})=r(1-\cos \frac{\theta}{2})$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 109: 79
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